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Finding the Third Proportional to 460,428 and 700,242

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Solution

The third proportional to 460,428 and 700,242 is: 1,064,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,428 : 700,242 = 700,242 : x
  2. Step 2: Convert to fraction form
    460,428/700,242 = 700,242/x
  3. Step 3: Cross multiply
    460,428x = 700,242 × 700,242
  4. Step 4: Simplify right side
    460,428x = 490,338,858,564
  5. Step 5: Solve for x
    x = 490,338,858,564/460,428
  6. Step 6: Final answer
    x = 1,064,963.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.